The approximate value of x will be approximately equal to 3.4
<h3>Area of triangle and circle</h3>
The formula for calculating area of rectangle is expressed as:
A = lw
- l is the length
- w is the width
Ar = (3x-1)(x+2)
Ar = 3x^2+6x-x-2
Ar = 3x^2 + 5x - 2
For the circle
Ac = πr²
Ac = 3.14(x-3)²
Ac = 3.14(x²-6x+9)
Ac = 3.14x² - 18.84x + 28.26
If the area are equal;
3x² + 5x - 2 = 3.14x² - 18.84x + 28.26
3.14x² - 3x² - 5x - 18.84x + 30.26 = 0
0.14x²-23.84x+30.26 = 0
On factorizing the equation, the approximate value of x will be approximately equal to 3.4
Learn more on area of rectangle here; brainly.com/question/25292087
Answer:
Part 1) The rate of change is
Part 2) The initial value is 68
Part 3) The function rule to the linear model is
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
step 1
Find the slope
take two points from the table
(0,68) and (15,85)
The formula to calculate the slope between two points is equal to
substitute the values
In a linear function , the slope is the same that the rate of change
therefore
The rate of change is
step 2
Find the y-intercept
we know that
The y-intercept is the value of y when the value of x is equal to zero
Looking at the table
For x=0, y=68
therefore
The y-intercept is
The y-intercept is also called the initial value
therefore
The initial value is 68
step 3
Determine the function rule to the linear model
we have
substitute
Because those are straight lines, the 46 degrees must be equal to the (2x - 4).
2x -4 = 46.
2x = 46 + 4
2x = 50
x = 50/2
x = 25.
The ratio 9:7 gives you following statement:
- Carl will win in 9 cases from 9+7=16;
- Carl will lose in 7 cases from 16.
Then the probability that Carl will lose is
Answer:
Answer:
Step-by-step explanation:
soorry can see the pic